There are a few simple steps to achieving ultra-fast fairy ring travel.
Step 1:
Do all the Fairy Tale quests. This includes part 1, 2, and 3.
The bare minimum is to unlock fairy ring use in the beginning of part 2, but part 3 is recommended in order to unlock staff-free fairy ring travel.
Step 2:
Get 300 Slayer Points, and unlock Rings of Slaying. This requires the quest Smoking Kills.
Step 3:
Make 50+ Rings of Slaying. If you do not have 75+ crafting, you can use the assist system.
You will need 1 enchanted gem (1gp) and 1 gold bar (about 90gp) to make each ring. You also need a ring mould in your inventory. Use the gold bar at a furnace to make the rings.
The rings are very cheap.
Step 4:
Do the things to unlock more fairy rings after completion of Fairy Tale part 3.
The Ape Atoll fairy ring requires a small ninja monkey gree-gree.
To unlock the Mos le Harmless fairy ring, you will need 8 regular planks, 20+ nails, and a hammer.
Step 5:
Go to every fairy ring location once. This will fill your log up with all the codes and you'll never have to enter them again. This takes a bit of time but it's worth it.
Here are the codes you need to enter:
AIQ
AJQ
AJR
AKQ
AKS
ALQ
ALP
ALS
BIQ
BJQ
BJR
BKP
BKR
BLP
BLR
CIP
CIQ
CJR
CKR
CKS
CLR
CLS
DIP
DIS
DJP
DJR
DKP
DKR
DKS
DLQ
DLS
AIR
AJS
ALR
BIP
BIR
BIS
BKQ
BLQ
CKP
CLP
DIR
DLR
Step 6:
Whenever you need to use a fairy ring, simply withdraw a slayer ring from your bank and use it to teleport to the Relleka slayer dungeon entrance. You will be mere steps away from a fairy ring. Use this fairy ring to go to zanaris, then choose your location from the list.
Congratulations on achieving ultra-fast fairy ring travel
!
NOTE: I came up with the idea of using slayer rings myself. I didn't steal the idea from anywhere. I'm pretty sure I was one of the first to think of this.
Thanks for taking the time to read my guide, comments/suggestions are appreciated.
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